**Educational Content: Geosynchronous Orbits****Introduction:**Communications satellites are placed in a circular orbit where they remain directly over a fixed point on the equator as the Earth rotates. These are called **geosynchronous orbits**. The altitude of a geosynchronous orbit is $3.58 \times 10^7 \, \text{m} \, (\approx 22,000 \, \text{miles})$.**Part A:***Question:* What is the period of a satellite in a geosynchronous orbit?*Instructions:* Express your answer with the appropriate units.*Input Field:* $ T = $ [Value] [Units] [Submit Button]**Part B:***Question:* Find the value of $ g $ at this altitude.*Instructions:* Express your answer with the appropriate units.*Input Field:* $ g = $ [Value] [Units] [Submit Button]Each part includes a hint that can be viewed for additional guidance.

Altitude of geosynchronous orbit is Note:Mass of the Earth is Radius of Earth is Universal…

Answered: Communications satellites are placed in…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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**Educational Content: Geosynchronous Orbits**

**Introduction:**

Communications satellites are placed in a circular orbit where they remain directly over a fixed point on the equator as the Earth rotates. These are called **geosynchronous orbits**. The altitude of a geosynchronous orbit is $3.58 \times 10^7 \, \text{m} \, (\approx 22,000 \, \text{miles})$.

**Part A:**

*Question:*
What is the period of a satellite in a geosynchronous orbit?

*Instructions:*
Express your answer with the appropriate units.

*Input Field:*
$ T = $ [Value] [Units]
[Submit Button]

**Part B:**

*Question:*
Find the value of $ g $ at this altitude.

*Instructions:*
Express your answer with the appropriate units.

*Input Field:*
$ g = $ [Value] [Units]
[Submit Button]

Each part includes a hint that can be viewed for additional guidance.

Expert Solution

Step 1: Given data

Altitude of geosynchronous orbit is $h equals 3.58 cross times 10 to the power of 7 space straight m$

Note:

Mass of the Earth is $M equals 5.97 cross times 10 to the power of 24 space kg space$

Radius of Earth is $R equals 6378 space km$

Universal gravitational constant is $G equals 6.674 cross times 10 to the power of negative 11 end exponent space straight m cubed divided by open parentheses kg times straight s squared close parentheses$

$1 space km equals 1000 space straight m$

Find:

(a) The period of a satellite in a geosynchronous orbit.

(b) Value of gravitational acceleration at a given altitude.

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